Finding the Third Proportional to 1,922.48 and 4,186.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,922.48 : 4,186.69 = 4,186.69 : x
2. Step 2: Convert to fraction form
   1,922.48/4,186.69 = 4,186.69/x
3. Step 3: Cross multiply
   1,922.48x = 4,186.69 × 4,186.69
4. Step 4: Simplify right side
   1,922.48x = 17,528,352.22
5. Step 5: Solve for x
   x = 17,528,352.22/1,922.48
6. Step 6: Final answer
   x = 9,117.55